Test Hypotheses about a Population Proportion
-Compute the standardized test statistic, $\chi ^ { 2 }$, to test the claim $\sigma ^ { 2 } \geq 14.4$ if $\mathrm { n } = 15$, $\mathrm { s } ^ { 2 } = 12$, and $\alpha = 0.05$.
A) $11.667$
B) $8.713$
C) $12.823$
D) $23.891$

Question

Quizplus · Accepted Answer

The test statistic for testing a claim about a population variance is calculated using the formula $\chi^2 = \frac{(n-1)s^2}{\sigma^2}$. Substituting the given values: $\chi^2 = \frac{(15-1) \times 12}{14.4} = 11.667$.

Test Hypotheses About a Population Proportion -Compute the Standardized Test χ2\chi ^ { 2 }χ2

Test Hypotheses About a Population Proportion
-Compute the Standardized Test $\chi ^ { 2 }$